What 2 square numbers subtract to make 9297?

What two square numbers subtract to make 9297? In other words, when you subtract one square number from another square number, the answer is 9297. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 9297

We solved the equation above and found this to be true:

521² - 512² = 9297

521² is 271441 and 512² is 262144, therefore the answer to the question "What 2 square numbers subtract to make 9297?" is 271441 and 262144 as illustrated below:

271441 - 262144 = 9297

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 9297. Below we list alternate solutions if available.

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